EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
4
,
find the value of
(
x
2
+
1
x
2
)
(i)
11
(ii)
16
(iii)
13
(iv)
14
(v)
15
Question
2
2.
If
(
x
+
1
x
)
=
8
,
find the value of
(
x
4
+
1
x
4
)
(i)
3843
(ii)
3839
(iii)
3842
(iv)
3844
(v)
3841
Question
3
3.
If
(
x
−
1
x
)
=
3
,
find the value of
(
x
2
+
1
x
2
)
(i)
10
(ii)
12
(iii)
8
(iv)
11
(v)
14
Question
4
4.
If
(
x
−
1
x
)
=
4
,
find the value of
(
x
4
+
1
x
4
)
(i)
321
(ii)
325
(iii)
320
(iv)
322
(v)
323
Question
5
5.
If
(
x
2
+
1
x
2
)
=
2
,
find the value of
(
x
+
1
x
)
(i)
1
(ii)
2
(iii)
0
(iv)
3
(v)
4
Question
6
6.
If
(
x
4
+
1
x
4
)
=
3842
,
find the value of
(
x
+
1
x
)
(i)
6
(ii)
10
(iii)
7
(iv)
8
(v)
9
Question
7
7.
If
(
x
2
+
1
x
2
)
=
83
,
find the value of
(
x
−
1
x
)
(i)
8
(ii)
6
(iii)
10
(iv)
11
(v)
9
Question
8
8.
If
(
x
4
+
1
x
4
)
=
34
,
find the value of
(
x
−
1
x
)
(i)
3
(ii)
1
(iii)
5
(iv)
-1
(v)
2
Question
9
9.
If
(
x
−
1
x
)
=
8
,
find the value of
(
x
3
−
1
x
3
)
(i)
533
(ii)
535
(iii)
537
(iv)
539
(v)
536
Question
10
10.
If
(
x
+
1
x
)
=
5
,
find the value of
(
x
3
+
1
x
3
)
(i)
113
(ii)
110
(iii)
108
(iv)
111
(v)
109
Question
11
11.
If
(
6
x
+
1
2
x
)
=
7
,
find the value of
(
36
x
2
+
1
4
x
2
)
(i)
44
(ii)
45
(iii)
40
(iv)
42
(v)
43
Question
12
12.
If
(
2
x
−
1
3
x
)
=
2
,
find the value of
(
4
x
2
+
1
9
x
2
)
(i)
26
5
(ii)
14
3
(iii)
16
3
(iv)
6
Question
13
13.
If
(
3
x
−
1
3
x
)
=
4
,
find the value of
(
27
x
3
−
1
27
x
3
)
(i)
77
(ii)
73
(iii)
79
(iv)
76
(v)
75
Question
14
14.
If
(
a
+
b
)
=
10
,
a
b
=
24
, find
(
a
2
+
b
2
)
(i)
53
(ii)
52
(iii)
49
(iv)
55
(v)
51
Question
15
15.
If
(
a
2
+
b
2
)
=
40
,
a
b
=
12
, find
(
a
+
b
)
(i)
11
(ii)
9
(iii)
8
(iv)
6
(v)
7
Question
16
16.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
2
−
b
2
)
(i)
24
(ii)
21
(iii)
22
(iv)
19
(v)
20
Question
17
17.
If
(
a
2
−
b
2
)
=
12
,
a
b
=
8
, find
(
a
−
b
)
(i)
1
(ii)
5
(iii)
0
(iv)
3
(v)
2
Question
18
18.
If
(
3
a
+
8
b
)
=
36
,
a
b
=
12
, find
(
9
a
2
+
64
b
2
)
(i)
718
(ii)
723
(iii)
720
(iv)
719
(v)
721
Question
19
19.
If
(
4
a
2
+
49
b
2
)
=
541
,
a
b
=
15
, find
(
2
a
+
7
b
)
(i)
34
(ii)
32
(iii)
28
(iv)
31
(v)
30
Question
20
20.
If
(
a
+
b
)
=
9
,
a
b
=
18
, find
(
a
3
+
b
3
)
(i)
242
(ii)
243
(iii)
244
(iv)
240
(v)
246
Question
21
21.
If
(
a
−
b
)
=
1
,
a
b
=
6
, find
(
a
3
−
b
3
)
(i)
19
(ii)
22
(iii)
20
(iv)
16
(v)
18
Question
22
22.
If
(
4
a
+
2
b
)
=
32
,
a
b
=
14
, find
(
64
a
3
+
8
b
3
)
(i)
22019
(ii)
22016
(iii)
22017
(iv)
22015
(v)
22013
Question
23
23.
If
(
a
+
b
)
=
7
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
340
(ii)
335
(iii)
338
(iv)
337
(v)
336
Question
24
24.
If
(
a
4
+
b
4
)
=
641
,
a
b
=
10
, find
(
a
+
b
)
(i)
10
(ii)
7
(iii)
4
(iv)
8
(v)
6
Question
25
25.
If
(
a
−
b
)
=
1
,
a
b
=
12
, find
(
a
4
−
b
4
)
(i)
175
(ii)
174
(iii)
176
(iv)
172
(v)
178
Question
26
26.
If
(
4
a
+
4
b
)
=
28
,
a
b
=
12
, find
(
256
a
4
+
256
b
4
)
(i)
86273
(ii)
86272
(iii)
86269
(iv)
86271
(v)
86275
Question
27
27.
If
(
16
a
4
+
81
b
4
)
=
2592
,
a
b
=
6
, find
(
2
a
+
3
b
)
(i)
9
(ii)
12
(iii)
15
(iv)
13
(v)
11
Question
28
28.
If
(
a
+
b
+
c
)
=
18
,
(
a
2
+
b
2
+
c
2
)
=
132
, find
(
a
b
+
a
c
+
b
c
)
(i)
95
(ii)
96
(iii)
97
(iv)
94
(v)
98
Question
29
29.
If
(
a
+
b
+
c
)
=
11
,
(
a
b
+
a
c
+
b
c
)
=
34
, find
(
a
2
+
b
2
+
c
2
)
(i)
54
(ii)
52
(iii)
55
(iv)
53
(v)
50
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (iv)
5) (ii)
6) (iv)
7) (v)
8) (v)
9) (v)
10) (ii)
11) (v)
12) (iii)
13) (iv)
14) (ii)
15) (iii)
16) (ii)
17) (v)
18) (iii)
19) (iv)
20) (ii)
21) (i)
22) (ii)
23) (iv)
24) (ii)
25) (i)
26) (ii)
27) (ii)
28) (ii)
29) (iv)
